What is the Greatest Common Factor of 8 and 104?

Greatest common factor (GCF) of 8 and 104 is 8.

GCF(8,104) = 8

We will now calculate the prime factors of 8 and 104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8 and 104.

How to find the GCF of 8 and 104?

We will first find the prime factorization of 8 and 104. After we will calculate the factors of 8 and 104 and find the biggest common factor number .

Step-1: Prime Factorization of 8

Prime factors of 8 are 2. Prime factorization of 8 in exponential form is:

8 = 2³

Step-2: Prime Factorization of 104

Prime factors of 104 are 2, 13. Prime factorization of 104 in exponential form is:

104 = 2³ × 13¹

Step-3: Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1, 2, 4

Step-4: Factors of 104

List of positive integer factors of 104 that divides 8 without a remainder.

1, 2, 4, 8, 13, 26, 52

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8 and 104. The biggest common factor number is the GCF number.
So the greatest common factor 8 and 104 is 8.

Also check out the Least Common Multiple of 8 and 104